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1499768064 = 28323773241
BaseRepresentation
bin101100101100100…
…1010010100000000
310212112002010000100
41121121022110000
511032420034224
6404453122400
752110550434
oct13131122400
93775063010
101499768064
116aa641a43
1235a329400
131ab940832
141032829c4
158ba00ac9
hex5964a500

1499768064 has 216 divisors, whose sum is σ = 4520588072. Its totient is φ = 477757440.

The previous prime is 1499768063. The next prime is 1499768071. The reversal of 1499768064 is 4608679941.

1499768064 is a `hidden beast` number, since 1 + 499 + 76 + 80 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 751198464 + 748569600 = 27408^2 + 27360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1499768064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1499768063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6222984 + ... + 6223224.

Almost surely, 21499768064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1499768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260294036).

1499768064 is an abundant number, since it is smaller than the sum of its proper divisors (3020820008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1499768064 is a wasteful number, since it uses less digits than its factorization.

1499768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 1499768064 is about 38726.8390654337. The cubic root of 1499768064 is about 1144.6552394138.

The spelling of 1499768064 in words is "one billion, four hundred ninety-nine million, seven hundred sixty-eight thousand, sixty-four".